for which values of x is A U B = Ø

For Which Values Of X Is A U B =

Answers

Answer 1

Answer:

          The first:   2 < x < 3

Step-by-step explanation:

[tex]3x+4\geq13\\\\3x\geq9\\\\x\geq3\\\\A=\big<3\,,\ \infty)[/tex]                         [tex]\frac12x+3\leq4\\\\\frac12x\leq1\\\\x\leq2\\\\B=(-\infty\,,\ 2\big>[/tex]

[tex]A\cup B\not=\varnothing\quad for\ all\ x\in(-\infty\,, 2\big>\cup\big<3\,,\ \infty)[/tex]

so:

     [tex]A\cup B=\varnothing\quad for\ x\in(\,2\,,\ 3\,)[/tex]

Answer 2

Answer:hi, the answer would be (a) or 2<x<3 hope this helps :)

Step-by-step explanation: i just took the test got em all correct


Related Questions

Rory records the percentage of battery life remaining on his phone throughout a day. The battery life decreases as Rory uses the phone, but will increase or stay at 100% while charging. The graph represents the percentage of battery life remaining after a certain number of hours.

A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours.

At which times could Rory's phone have been plugged into the charger? Select three options.

Answers

Answer:

9 hours

11 hours

19 hours

Step-by-step explanation:

The graph represents the percentage of battery life remaining after a certain number of hours is attached below.

At which times could Rory's phone have been plugged into the charger? Select three options.

6 hours

9 hours

11 hours

14 hours

19 hours

Answer: From the graph, the line segment with negative slope (that is decreasing value) shows that the phone is not plugged but being used while the line segment with positive slope (increasing value) or stays at 100% shows that the phone is plugged to the charger.

As shown, from 0 to 8 hours their is a decreasing value, the phone is not plugged. From 8 to 10 hours their is an increasing value therefore the phone is plugged also from 10 to 12 hours the phone is plugged since it is constant. From 12 to 16 hours it is not plugged. From 16 to 18 hours it is plugged and from 18 to 20 hours it is plugged.

From the options it is plugged at 9 hours, 11 hours and 19 hours

Answer:

B - 9 HOURS

C - 11 HOURS

E - 19 BHOURS

Step-by-step explanation:

i took the test

Christine, Dale, and Michael sent a total of 71 messages during the weekend. Dale sent 9 fewer messages than Christine. Michael sent 2 times as many messages as Christine. How many messages did they each send?

Answers

Answer:

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Step-by-step explanation:

Christine, Dale, and Michael sent a total of 71 messages

C + D + M = 71

Dale sent 9 fewer messages than Christine

D = C - 9

Michael sent 2 times as many messages as Christine

M = 2C

Plug-in the numbers.

C + C - 9 + 2C = 71

4C - 9 = 71

4C = 80

C = 20

Now, plug in to other equations for other results.

D = (20) - 9

D = 11

M = 2(20)

M = 40

Micheal sent 40 messages, Christine sent 20, and Dave sent 11.

Verify?

40 + 20 + 11 = 71.

Write 1.4888.. in form of p/q

Answers

Let x = 1.4888... .

Then 10x = 14.888... and 100x = 148.888..., so that

100x - 10x = 148.888... - 14.888...

90x = 147

x = 147/90 = 49/30

add 2 hours 40 minutes to 11 hours 40 minutes ​

Answers

Answer:

14 hours and 20 minutes

Step-by-step explanation:

11 hours + 2 hours = 13 hours

40 minutes + 40 minutes = 1 hour and 20 minutes

Then you add the answers together

13 hours + 1 hour 20 minutes = 14 hours and 20 minutes

Hope this helps

Answer:

860min or 13:80=14:20=2:20

Step-by-step explanation:

1 hour=60min

2 hours=120min

So, we will add 120min to 40 min

120min+40min=160min

1hour=60min

11hour=660min

So we will add 660min to 40min

660min+40min=700min

160min+700min=860min

2:40

+11:40

13:80

Hope this helps ;) ❤❤❤

A blueprint for a house has a scale factor n = 35. A wall in the blueprint is 10 in. What is the length of the actual wall?

29.17 in.
29.17 feet
350 feet
4,200 feet

Answers

Answer:

29.17 feet

Step-by-step explanation:

10 x 35 = 350 in. / 12 in/ft = 29.17 feet

The length of the actual wall is 29.17 feet. The correct answer is option B.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

It is given that the blueprint for a house has a scale factor of n = 35. A wall in the blueprint is 10 in.

The length of the actual wall is calculated as:-

L = 10 x 35

L = 350 in. / 12 in/ft

L= 29.17 feet

Therefore, the length of the actual wall is 29.17 feet. The correct answer is option B.

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tìm 2 số liên tiếp biết tích của chúng là 9120

Answers

Câu trả lời

Số một = 95

Số hai = 96

Giải thích

Số một = x

Số hai = x + 1

x * (x + 1) = 9120

x ^ 2 + x - 9120 = 0

 

(x + 96) (x - 95) = 0

x = 95 (-96 không có câu trả lời)

Số một = 95

Số hai = 96

(Xin lỗi nếu văn bản xấu, tôi đang sử dụng công cụ dịch thuật)

*PLEASE ANSWER ASAP* What is the total volume of the cube below?

Answers

Answer:

V = 125 cu.

Step-by-step explanation:

Since volume = L x W x H -->

Plug the numbers in --> 5 x 5 x 5 (5 cubed) -->

25 x 5 = 125

Thus, the total volume of this cube is 125 cu.

Hope this helps!

Answer:

The answer is option A

Step-by-step explanation:

Volume of a cube = l³

where l is the length of one side

From the question

there are 5 squares on each side of the cube

So l = 5 units

Volume of the cube = 5³

We have the final answer as

Volume = 125 cubic units

Hope this helps you


Solve for u.
– 22 = -8u + 6(u-7)
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

- 22 = -8u + 6(u-7)

-22 = -8u + 6u - 42

8u - 6u = 22 - 42

2u = -20

u = -20/2

u = -10

Answer:

[tex] \boxed{ \boxed{ \mathrm{ \bold{ \blue{ - 10}}}}}[/tex]

Step-by-step explanation:

[tex] \mathrm{ - 22 = - 8u + 6(u - 7)}[/tex]

Distribute 6 through the parentheses

⇒[tex] \mathsf{ - 22 = -8u + 6u - 42}[/tex]

Collect like terms

⇒[tex] \mathrm{ - 22 = - 2u - 42}[/tex]

Swap the sides of the equation

⇒[tex] \mathrm{ -2u - 42 = - 22}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \mathrm{ - 2u = - 22 + 42}[/tex]

Calculate

⇒[tex] \mathrm{ - 2u = 20}[/tex]

Divide both sides of the equation by -2

⇒[tex] \mathrm{ \frac{ - 2u}{ - 2} = \frac{20}{ - 2} }[/tex]

Calculate

⇒[tex] \mathrm{u = - 10}[/tex]

Hope I helped!

Best regards!

On a coordinate plane, a triangle has points (negative 5, 1), (2, 1), (2, negative 1).
Use the drop downs to answer the following questions about the distance between the points (−5, 1) and (2, −1).

What is the distance of the horizontal leg?

What is the distance of the vertical leg?

Use the Pythagorean theorem. What is the distance between the two points?

Answers

Answer:

The answer is below

Step-by-step explanation:

The points of the triangle are  (- 5, 1), (2, 1), (2, - 1). The distance between two points is given by:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The horizontal leg is formed by points with the same y axis. Therefore the points that make up the horizontal leg is (- 5, 1), (2, 1). The Distance of the horizontal leg is:

[tex]Horizontal\ leg=\sqrt{(2-(-5))^2+(1-1)^2}=\sqrt{7^2+0}=7\ units[/tex]

The vertical leg is formed by points with the same x axis. Therefore the points that make up the vertical leg is (2 1), (2, 1-). The Distance of the vertical leg is:

[tex]Vertical\ leg=\sqrt{(2-2)^2+(-1-1)^2}=\sqrt{0+(-2)^2}=2\ units[/tex]

The hypotenuse is gotten using Pythagorean theorem. It is gotten by:

Hypotenuse² = (Horizontal leg)² + (Vertical leg)²

Hypotenuse² = 7² + 2²

Hypotenuse² = 49 + 4 = 53

Hypotenuse = √53

Hypotenuse = 7.28 unit

Answer:

The answer are 7, 2 and 53

Step-by-step explanation:

How to do this question plz answer me step by ​

Answers

Answer:

481.92

Step-by-step explanation:

First find the increase

466.98 * 3.2%

466.98 * .032

14.94336

Add this to the original amount

466.98+14.94336

481.92336

Round to 2 decimal places

481.92

a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number what are the numbers​

Answers

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

A positive number is 7 times another number:

a = 7b

If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:

a+3 = 5/2 × (b +3)

To solve this we substitute a with 7b in the second equation:

7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 214b + 6 = 5b + 15                    ⇒ collecting like terms14b - 5b = 15 - 69b = 9b = 1                                        ⇒ solved for b

Then, finding a:

a= 7ba=7*1a= 7                                        ⇒ solved for a

So the numbers are 7 and 1

The graph of function f is shown. Function g is represented by the table. Which statement correctly compares the two functions?

Answers

Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

What is the DOMAIN for rational function?

Answers

Answer:

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .

Step-by-step explanation:

i google this l M A O

A rational function's domain includes all real numbers x except those with a denominator of zero.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A rational function's domain includes all real numbers x except those with a denominator of zero. To locate these x values that are not in the domain of a rational function, set the denominator to zero and solve for x.

Hence, A rational function's domain includes all real numbers x except those with a denominator of zero.

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Question 6(Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the
graph of y = f(x) with the graph of y = f(x) + 20?
The graph of y = f(x) will shift left 20 units.
The graph of y = f(x) will shift down 20 units.
The graph of y = f(x) will shift up 20 units.
The graph of y = f(x) will shift right 20 units.

Answers

Answer:

the graph will shift 20 units up

If the lengths of the legs of a right triangle are 3 and √10, what is the length of the hypotenuse?

Answers

Answer:

[tex]\sqrt{19}[/tex]

Step-by-step explanation:

We can use the pythagoren theorm (A^2 + B^2 = C^2) for right triangles, C being the hypotenuse.

3^2 + 10 = C^2

19 = C^2

C = [tex]\sqrt{19}[/tex]

The required length of the hypotenuse of triangle is √19.

Legs of right angle triangle is √10 and 3. Hypotenuse to be determine.

What are the legs in triangle?

Legs in right triangle refers to the perpendicular and base.

Hypotenuse = [tex]\sqrt{perpendicular^2+base^2}[/tex]
                   = [tex]\sqrt{3^2+\sqrt{10}^2 }[/tex]
                   = [tex]\sqrt{19}[/tex]

Thus, the required length of the hypotenuse of triangle is √19.

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Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?

Answers

Answer:

The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Step-by-step explanation:

The error she made was that she was adding x and 2.75.

She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.

By using the correct equation: 8 (x - 2.75) = 78

=> 8x - 22 = 78

=> 8x = 78 + 22

=> 8x = 100

=> x = 100/8

=> x = 12.5

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Hope this helps you.

Answer:

C

Step-by-step explanation: Nice

3x/4 - 5 = 10

I need help solving this equation someone please help

Answers

Answer:

x = 20

Step-by-step explanation:

Hello!

What we do to one side we have to do to the other

3x/4 - 5 = 10

Add 5 to both sides

3x/4 = 15

Multiply both sides by 4

3x = 60

Divide both sides by 3

x = 20

The answer is x = 20

Hope this helps!

Answer:

20

Step-by-step explanation:

3x/4 - 5 = 10

3x/4      = 10 + 5

3x/4      = 15

3x         = 15 * 4

3x         = 60

x           = 60/3

x           = 20

Find the value of x.

Answers

Answer:

70°

Step-by-step explanation:

an inscribed angle is half of the intercepted arc

arc = 2(15) = 30

1/2(x - 30 ) = 20

x - 30 = 40

x = 70

If the length of a rectangle is 5y-7 and the width is 3y,represent the area of the rectangle

Answers

Answer:

15y^2 - 21y

Step-by-step explanation:

A = LW

A = (5y - 7)(3y)

A = 15y^2 - 21y

Answer:

A = 15y² - 21y

Step-by-step explanation:

3y(5y - 7)

15y² - 21y

Solve for x.

3(x + 2) = 12

x=2
x=33
x=4 2/3
x=6

Answers

Answer:

x=2

Step-by-step explanation:

3(x + 2) = 12

Distribute

3x+6 = 12

Subtract 6 from each sdie

3x+6-6 = 12-6

3x = 6

Divide by 3

3x/3 = 6/2

x=2

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 2

▹ Step-by-Step Explanation

3(x + 2) = 12

Distribute:

3x + 6 = 12

Subtract 6 from each side:

6 - 6 = 0

12 - 6 = 6

Rewrite:

3x = 6

Divide each side by 3:

3/3 = x

6/3 = 2

x = 2

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Mr. Evans is considering offering a second after-school tutoring session for his math students each week. He records the number of students who attend his current sessions each week. The results from the last twelve weeks are shown in the dot plot below.

Answers

Answer:

The correct options are:

Four families said they ate out twice the previous week.

One family said they ate out 5 times the previous week.

The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families  

          0                                                          2

          1                                                           3

          2                                                          4

          3                                                           1

          4                                                           2

          5                                                           1

          6                                                            1

Hence, the range of the number line is between 0 to 6.

Also there are 4 dots above 2.

   Hence,  Four families said they ate out twice the previous week.

Also there is one dot above 5.

       Hence,  One family said they ate out 5 times the previous week.

The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

Hope it helped u!.... Btw can u plz mark me BRAINLIEST.. If it helped u?

Tysm!

Answer: The data is skewed left option c

Step-by-step explanation: A set of data is skewed when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the data lies to the right. Therefore, the data is skewed left.

Find the slope of (3,-20), (5,8)

Answers

Answer:

14

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 8 - -20)/(5 -3)

   = (8+20)/ (2)

   28/2

    14

Answer:

14!!!

Step-by-step explanation:

Plug the numbers into the slope formula to find the output.

y2-y1/x2-x1

Which of the following are natural numbers? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. A.) only B.) −1,−2,−3,… C.) 7,8,9,… D.) fractions E.) 22

Answers

Answer:

Option C and option E

Step-by-step explanation:

C.) 7,8,9,…

E.) 22

Natural numbers are also called counting numbers.

They begin from 1, 2, 3 to infinity.

Natural numbers are greater than zero (0)

They do not have decimal point in them.

They are positive integers, as such they do not have minus

Natural numbers can include commas when they are large like 3,000

4x
5.
If 7:5 = (x + 2y): (x - y), find the value of
5y

Answers

Answer:

5/2 OR 2.5

Step-by-step explanation:

( x + 2y ) = 7 , ( x - 2y ) = 5

x = 7 - 2y , x = 5 + 2y

substitute the two eqns together:

7 - 2y = 5 + 2y

7 - 5 = 2y + 2y

2 = 4y

y = 1/2

when y = 1/2 ,

5y = 5(1/2)

= 5/2 OR 2.5

**Yoxelt buys 4 1/2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? Show all work below.

Answers

Answer:

  1 1/8

Step-by-step explanation:

1/4 of the 4 1/2 gallons were Pepsi, so the amount is ...

  (1/4)(9/2) = (1·9)/(4·2) = 9/8 = 1 1/8

Yoxelt bought 1 1/8 gallons of Pepsi.

solve for y 7y - 6y - 10 = 13

Answers

Answer: y=23

Step-by-step explanation:

[tex]7y-6y-10=13[/tex]

[tex]7y-6y=y[/tex]

[tex]y-10=13[/tex]

add 10 to both sides

[tex]y-10+10=13+10[/tex]

[tex]y=23[/tex]

Plz HELP !!!!! I would appreciate it!!!

Answers

Answer/Step-by-step explanation:

a. The sides of ∆ABC can be labelled as follows, taking θ as the reference point.

Adjacent = side AB

Opposite = side BC

Hypotenuse = side AC

b. I. "<B is an acute angle" => FALSE. It is a right angle (90°)

II. "The side opposite to <C is BC" => FALSE. The side opposite to <C is AB.

III. The side adjacent to <A is AB => TRUE

IV. The side opposite to <B is not the longest. => FALSE. It is the hypotenuse and the longest side.

c. Cos θ = [tex] \frac{adjacent}{hypotenuse} = \frac{AB}{AC} [/tex]

Tan θ = [tex] \frac{opposite}{adjacent} = \frac{BC}{AB} [/tex]

d. Sin C = [tex] \frac{opp}{hypo} = \frac{AB}{AC} [/tex]

Cos C = [tex] \frac{adjacent}{hypotenuse} = \frac{BC}{AC} [/tex]

Tan C = [tex] \frac{opp}{adjacent} = \frac{AB}{BC} [/tex]

Help please and explain

Answers

Answer:

30 ft

Step-by-step explanation:

We can use ratios

3              6

------ = ------------

15            x

Using cross products

3x = 6*15

Divide each side by 3

3x/3 = 6*15/3

x = 30

Answer:

30 ft

Step-by-step explanation:

6/3 = x/15

2 = x/15

2×15 = x

30 = x

Sam ran 63,756 feet in 70 minutes. What is Sam's rate in
miles per hour? (There are 5,280 feet in one mile.)
Step 1: What is Sam's rate as stated?
63,756 feet
63, 756 ft
70 min
70 minutes
Step 2: What factor is used to convert feet per minute into
miles per minute?
Step 3: what factor is used to convert miles per minute to miles per hour

Answers

Answer:

10.35 miles per hour

Sam's rate as stated is 63,756 feet per 70 minutes

Divide by 5,280 feet

Divide by 60 minutes

Step-by-step explanation:

1. Find how many feet Sam ran in one minute

63,756 ÷ 70 = 910.8 ft.

2. Find how many feet he ran in one hour

910.8 · 60 = 54,648 ft.

3. Convert the feet to miles

54,648 ÷ 5280 = 10.35

Step 2: There are 5280 feet in one mile. Therefore, you would divide by 5280 feet to convert feet per minute into miles per minute.

Step 3: There are 60 minutes in one hour. Therefore, you would divide by 60 minutes to convert miles per minute to miles per hour.

Answer:

1: 63,756 and 70 mins

2: 1 mile and 5,280 feet

3: 60 mins and 1 hour

4: 10.35

Thomas had 19 problems correct of the 25 problems on a recent math quiz. What percent of the
problems on the quiz did he answer correctly?
A.
24%

B. 36%

C. 76%

D.95%

Answers

Hey There!!

Your best choice is 76%

Because, 19/25 = x/100

25x = 1900

x = 76

°He got 76% correct!!°

By °Itsbrazts°

Answer:

76%

Step-by-step explanation:

Thomas got 19/25 marks.

** Note: Percents are always out of 100.

We don't know how many marks he got out of 100.

=> 19/25 = x/100

There are two ways to solve it from now.

=> Multiply 19 and 100; 25 and x

=> 25x = 1900

Next, Divide 25 on each side.

=> 25x/25 = 1900/25

=> x = 76

He got 76% on the quiz.

Another way is:

=> 19/25 = x/100

=> We need to divide 25 from 100.

=> We get 4.

So, 25 x 4 = 100

=> 19 x 4 = x

=> x = 76

He got 76% on the quiz.

Both ways are correct.

Other Questions
Give any two features of Socialism. Why were socialists against private property and saw it as the root of all social evils? A.While the traits studied in Exercise 1 were hypothetical genetic traits, what type of genetic traits do you think are important to study and predict (b) The train is 61 cm long and travels at a speed of 18 cm/s.It takes 4 seconds for the whole of the train to cross a bridge.Calculate the length of the bridge. A _____________________ established a colony and served as an agreement between thecolony and the __________________. Only the King could _________________ acharter, so technically he was in charge. Which materials were used to make the fuselages of the first airplane?A. wood and fabriccheB. metal and woodfabric and plasticD. wood and ceramic evaluate the following expressions if a = 2, b = 3, x = 4, y = 5 Simplify the following expression. (75x - 67y) - (47x + 15y) A long straight solenoid has 800 turns. When the current in the solenoid is 2.90 amperes the average flux through each turn is 3.25103Wb.A. What is the inductance of the coil?B. What must be the magnitude fo the rate of change of the current (di/dt) in order for the self-induced emf to equal 7.50 mV? A simple structure is characterized by Multiple Choice high specialization and low centralization. low specialization and high centralization. low formality and low creativity. high formality and low centralization. PLEASE HELP FAST!! The cone and the cylinder below have equal surface area. True or False?? We arrived.............. to get good seats.- on time- in time In this diagram, bac~edf. if the area of bac= 6 in., what is the area of edf? PLZ HELP PLZ PLZ PLZ Which of the following describes the most likely impact that exposure to pollutants in the atmosphere would have on ones personal health? Describe the reaction of an acid with an alkali.? Put the words in the correct order to form complete sentences. 1.but / what / exactly / to try / want / sorry, / the next / for / did you / 30 days / Im / new thing 2.30 days, / eaten / hasnt / really / a chocolate bar / wants / sugar / for / She / so / she Barnabas had a very rare necklace that he gave to Willie to hold for him for a few weeks. Barnabas wanted to give the necklace to Victoria for her birthday. Please answer true/false for the following statements.Barnabas and Willie had a bailment for the sole benefit of Barnabas.A. False B. TrueIf Barnabas gives Victoria the necklace, the necklace is a gift causa mortis. A. False B. TrueBarnabas would be the donee when he gives Victoria the gift. A. False B. TrueWillie is the bailee when he receives the necklace from Barnabas. A. False B. TrueFor the gift to be valid, Barnabas only needed to delivery it to Victoria.Identify if the remedy (relief) is equitable or legal.direct damages a. equitable b. legalrescission a. equitable b. legalspecific performance equitable /legalnominal damages equitable /legalcompensatory damages a. equitable b. legalinjunction a. equitable b. legalpunitive damages a. equitable b. legalconsequential damagesa. equitable b. legalDr. Neil met Mr. Hammond's grandson while they were visiting the Park. His grandson loved dinosaurs and Dr. Neil had written many books on the matter. Dr. Neill happened to have a copy of his latest book on him and thought the grandson would love it. Thus, he signed the book and gave it to him. Identify the party.The donor in the situation would be:________.the grandson Dr. NeilThe donee in the situation would be:_______.the grandson Dr. Neil . Buffer solution resists change to its pH when small amounts of an acid or an alkali are added to it. Buffer solutions can be used to keep the pH of a substance constant during an experiment. For example, if pH 5.5 buffer solution is added to a mixture of amylase and starch solution, the pH of the mixture will remain constant at 5.5. The student has the following buffer solutions available: 5.5, 6.0, 6.5, 7.0, 7.5 and 8.0. Describe how the student can adapt the tube experiment to investigate the effect of pH on the action of amylase. At standard temperature and pressure conditions, the volume of an ideal gas contained in a jar is 55.3 L. How many molecules are in the jar. This question is to be answered in scientific notation.(eg. 1.5 e5) "A light beam incident on a diffraction grating consists of waves with two different wavelengths. The separation of the two first order lines is great if" 21 22 23 24 25 Won has a container with the shape below. A rectangular prism with length of 18 centimeters, width of 10 centimeters, and height of 12 centimeters. A rectangular pyramid has a base of 18 centimeters by 10 centimeters and height of 10 centimeters. Which statements are true about the container? Select three options. The shape can be broken into a rectangular prism and a triangular prism. The shape can be broken into a rectangular prism and a rectangular pyramid. The formula for the volume of this figure is V = B h + one-third B h. The volume of the container is 2,760 centimeters cubed. The volume of the container is 3,060 centimeters cubed.